Numerical Analysis of PDE
Members: Alejandro Allendes, Erwin Hernández, Michael Karkulik, Enrique Otárola
The area of Numerical Analysis of Partial Differential Equations centers around the development of methods and techniques for the numerical solution of problems arising in science and engineering. Our research includes the development, analysis, and implementation of contemporary numerical methods such as finite elements for problems that can be described by partial differential equations (PDE’s) and related models.
The theoretical interests of our group cover a priori and a posteriori error estimates, adaptivity, spectral approximations, stabilized schemes, minimal residual methods and related questions.
We focus our research on the numerical solution of control and optimization problems governed by PDE’s, non-local problems, and on applications
in computational mechanics such as structural vibration and acoustics, fluid-structure interaction and slender structures, among others.